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16 October, 05:02

What is the value of the interquartile range of the data below? A box-and-whisker plot. The number line goes from 0 to 52. The whiskers range from 10 to 51, and the box ranges from 29 to 41. A line divides the box at 32.

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  1. 16 October, 08:27
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    The interquartile range is 12.

    Step-by-step explanation:

    In a box-and-whisker plot, the left edge of the box is the lower quartile and the right edge of the box is the upper quartile. The line dividing the box is the median. The end of the left whisker shows the minimum value. The end of the right whisker shows the maximum value.

    In your question, the lower quartile is 29, the upper quartile is 41, while the median is 32. The minimum value is 10 and the maximum value is 51.

    The formula for the interquartile range is as follows:

    Interquartile Range = Upper quartile - Lower quartile

    In this question, interquartile range = 41 - 29 which equals 12. Hence, the answer is 12.
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